On the origin of order from random two-body interactions

Details On the origin of order from random two-body interactions On the origin of order from random two-body interactions

2000-07-18

arxiv.org/abs/nucl-th/0007045v1

Physics

Nuclear Physics

Nuclear Theory

Latex2e-RevTeX, 4 pages, 4 eps figures

Scientific paper

We investigate the origin of order in the low-lying spectra of many-body systems with random two-body interactions. Contrary to the common belief our study based both on analytical as well as on numerical arguments shows that these are the higher $J$-sectors whose ground states are more orderly than the ones in the J=0-sector. A predominance of J=0 ground states turns out to be the result of putting on together states with different characteristic energy scales from different $J$-sectors.

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